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Finding the Fourth Proportional to 174.80, 259.98 and 171.15

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Solution

The fourth proportional to 174.80, 259.98 and 171.15 is: 254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 259.98 = 171.15 : x
  2. Step 2: Convert to fraction form
    174.80/259.98 = 171.15/x
  3. Step 3: Cross multiply
    174.80x = 259.98 × 171.15
  4. Step 4: Simplify right side
    174.80x = 44,494.72
  5. Step 5: Solve for x
    x = 44,494.72/174.80
  6. Step 6: Final answer
    x = 254.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.